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Direct Variation
Partial Variation
First Differences
Rate of Change
100
At what point on a Cartesian plane do all direct variation's pass through?
(0,0)
100
How does a partial variation differ from a direct variation?
A direct variation must go through the origin whereas a partial variation does not have to. 
100
What does it mean if the first differences are constant.  
The relation is linear. 
100
What variable represents the slope of a linear relation. 
m
200

What equation is used to model a direct variation

y= kx
200
What formula is used to model a partial variation. 
y= mx+b 
200
If a line is quadratic will its first differences be constant? 
No a quadratic line's second differences will be constant. 
200
Is slope=rise/run the same as x/y?
no rise=y and run=x
300
Julio's income varies directly to the number of hours he works. If he works for 5 hours and makes 29.75$, how much will he make if he works 30 hours. 
y= 178.5
300
A car moving 25m/s accelerates to 40m/s in 5 seconds. Graph this partial variation. 
Starts at 25 m/s(y-axis) and moves up to the right(y=40,x=5) after 5 seconds(x-axis)
300
If a line passes through (0,5), (1,6), and (2,8) is it linear?
No the first differences are not constant
300
If y=mx+b solve for y when m=10, x=6, and b=2(6)

y=48

400
A car uses 8 gallons of gas to travel 290 miles. How much gas will the car use to travel 400 miles?
x= 11.03
400

A catering company charges 10$ per plate and 50$ for booking them for a select date. How much would it cost to book this company for a party of 40 guests (assuming each guest has 1 plate each)

450$
400
Solve the first differences of the line y=4x+4
First differences should be constant with a value of 4
400
Solve for y when slope=3 and x=4
rise/y=12
500

The cost of an item in euros, e, varies directly as the cost of the item in dollars, d, and e=3.85 when d=5.00. Find d when e= 10.0

d= 12.99
500
A tanker's fuel tank can fully fill up to 80 liters. This tanker can travel 800km on 22.5 liters of gas. How many liters of gas is left in the fuel tank after a trip of 2200km. 
18.125 liters is left in the fuel tank
500
find the first differences of the line that goes through the points (0,2), (4,5).
first difference constant value of 3/4
500
If a line travels through (3,7) and travels through (4,3) what is the equation of this line?
y=-4x+19